Alpha Decay

Science — James William Steven Parker

Alpha Decay is a radioactive nuclear transformation in which an unstable parent nucleus emits an alpha particle, which is a helium-4 nucleus containing two protons and two neutrons. The daughter nucleus therefore has an atomic number two lower and a mass number four lower than the parent. A generic alpha decay can be written as a parent nucleus transforming into a daughter nucleus plus a helium-4 nucleus. Alpha decay occurs primarily among heavy nuclei where the balance between attractive nuclear interactions and proton proton electromagnetic repulsion makes emission energetically favourable.

The alpha particle is strongly bound because helium-4 has a particularly stable nuclear configuration. The decay energy, called the Q value, is determined by the mass difference between the initial and final systems. Because the daughter nucleus and alpha particle must conserve momentum, the released energy is divided mainly between their kinetic energies, with the lighter alpha particle generally receiving the larger share. If the daughter nucleus is produced in an excited state, additional energy can later be released through gamma emission.

Alpha decay is explained quantum mechanically through tunnelling. The alpha particle can be regarded approximately as a preformed cluster within the parent nucleus, although the detailed nuclear structure is more complicated. Inside the nucleus, the alpha cluster encounters attractive nuclear forces and an electromagnetic potential barrier. Classically, if the alpha particle lacks sufficient energy to cross the barrier, it would remain confined. Quantum mechanics permits a finite probability of tunnelling through the barrier, allowing escape. The probability depends sensitively on the alpha particle energy and the height and width of the barrier.

The decay rate of alpha emitters varies dramatically among different nuclides. The Geiger Nuttall relationship describes an empirical correlation between alpha particle energy and radioactive half-life, with higher alpha energies generally corresponding to much shorter half-lives within related decay series. This strong dependence arises from the tunnelling probability through the Coulomb barrier. Small changes in alpha energy can therefore produce enormous changes in lifetime. Alpha decay consequently provides a striking example of how quantum tunnelling controls macroscopic radioactive timescales.

Alpha particles have high linear energy transfer compared with many other common forms of ionising radiation. They produce dense ionisation along relatively short tracks in matter and therefore deposit their energy over a short distance. In air, alpha particles typically travel only a limited distance compared with beta particles or gamma rays, and a sheet of paper or the outer dead layer of skin can stop many alpha particles. Their low penetration does not mean they are harmless because internal contamination can place alpha emitting radionuclides directly inside sensitive tissue.

Alpha decay occurs naturally in several heavy radioactive decay chains. Uranium and thorium series contain numerous alpha emitters, and alpha decay contributes to the natural radiation environment. Radon is a radioactive noble gas produced in uranium decay chains, and its alpha-emitting progeny can contribute significantly to indoor radiation exposure when they are inhaled and subsequently decay in the respiratory system. Alpha decay is therefore important both in nuclear physics and in environmental health assessment.

Alpha emitters have specialised applications. Certain alpha-emitting radionuclides can be used in targeted alpha therapy, where a radioactive substance is directed towards particular biological targets and the emitted alpha particles deliver highly localised ionising energy. Alpha sources have also been used in static elimination devices and scientific instruments, although their use requires strict controls. The short range and high energy deposition of alpha particles can be advantageous when the objective is to concentrate radiation within a small target region.

Alpha decay is distinguished from beta decay because it changes both the proton number and mass number through emission of a helium-4 nucleus, whereas beta processes change a neutron into a proton or vice versa without emitting a cluster of four nucleons. It is also distinct from spontaneous fission, in which a heavy nucleus splits into two substantial fragments. Alpha decay generally produces a single daughter nucleus and one alpha particle in the primary transformation. The process illustrates the combined importance of nuclear binding, electromagnetic repulsion, quantum tunnelling, conservation laws and radioactive statistics.